| We ek |
Date | Contents |
| 1 | 0905 |
Imagine UBC: First-day orientation |
| 0907 | outline: homepage, grading, quiz, Webwork, textbook, piazza, MLC, office hours
§1.1-1.2 tangent and instantaneous velocity, Ex 1 (briefly as motivation) §1.3 definition of limit, Ex 1 |
|
| 2 | 0912 | §1.3 Ex 2, 3, jump, one sided limits, Ex 4, oscillation, Ex
5,
5', blow up, Ex 6 §1.4 limit laws, Ex 1-3 |
| 0914 | §1.4 cancellation of factors going to zero in a quotient,
Ex 4-6,
squeeze theorem, Ex 7-8 §1.5 definition of limit at ∞, Ex 1-5 |
|
| 3 | 0919 | §1.5 nonexistence of limit at ∞, Ex 6, squeeze
theorem at ∞, Ex 7 §1.6 continuity and one-sided continuity, Ex 1-4, arithmetic of continuous functions, Ex 5, composition of continuous functions, Ex 6-7 |
| 0921 | §1.6 intermediate value theorem, Ex 8-10, bisection method,
Ex 11 §2.1-2.3 definition of derivative, Ex 1 Quiz 1 |
|
| 4 | 0926 | §2.1-2.3 more definitions, Ex 2-5, tangent, Ex 6, a differentiable
function must be continuous, Ex 7-11 §2.4 linearity rule, Ex 1, product rule |
| 0928 | §2.4 and 2.6, Ex 2-3, Extensions of product rule, Ex 4-7,
quotient rule,
Ex 8-9 (we skip §2.5)
§2.7 exponential functions, logarithmic functions, derivative of a^x |
|
| 5 | 1003 |
§2.7 example for derivative of exponential functions §2.8 trigonometric functions, sin x < x < tan x, derivatives of sin, cos and tan, examples, trig functions on unit circle, formula for sin(x+y) §2.9 chain rule, Ex 1 |
| 1005 |
§2.9 alternative form and heuristic of chain rule, Ex 2-7 Quiz 2 |
|
| 6 | 1010 |
§0.6 inverse functions §2.10 the natural logarithm |
| 1012 |
§2,10 continued §2.11 implicit differentiation notes for 0.6, 2.10 and 2.11 |
|
| 7 | 1017 |
§2.12 inverse trig functions and their derivatives §3.1 velocity and acceleration |
| 1019 |
§3.1 Ex 2 continued §3.3 differential equations, exponential decay and growth, carbon dating, Newton's rule of cooling Quiz 3 |
|
| 8 | 1024 |
§3.3.3 population growth §3.2 related rates |
| 1026 |
§3.4 constant, linear and quadratic approximations,
coefficient formula for Taylor polynomials |
|
| 9 | 1031 |
§3.4 Taylor polynomials for e^x, ln x, cos x and sin x. Remainder formula for R_0(x) using Mean Value Theorem (MVT), error bound and over/under estimate for R_0. (We skip percentage error of §3.4.7 and derivation of remainder formula of §3.4.9) |
| 1102 |
§3.4 remainder formula for R_n(x), error bound and
over/under estimate for R_n. §3.5.1 local and global maximum and minimum. Quiz 4 |
|
| 10 | 1107 |
§3.5.1-3.5.2 first and second derivative tests for
local max/min, critical and singular points, finding global maximum and
minimum. |
| 1109 |
§3.5.2 one more example on global extrema §2.13 Rolle's theorem, Mean value theorem |
|
| 11 | 1114 |
§3.6.1-3.6.3 sketching the graph of y=f(x) using info
of f, f' and f'' |
| 1116 |
3.6.3-3.6.6 graphs of odd/even and periodic functions, examples
of global max/min Quiz 5 |
|
| 12 | 1121 |
3.6.6 one more example on graphing 3.5.3 word problems for optimization, global max/min on open intervals, Ex 1-3 |
| 1123 |
3.7 l'Hôpital's rule, examples |
|
| 13 |
1128 |
Two examples on 3.7, one example on 3.5.3 4.1 antiderivative |
| 1130 |
4.1 examples comments on final exam, review 2016 final exam, teaching evaluation |
